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3 years ago

By what expression can 3 x-1 be multiplied to yield the product 3x3+5x2+x-1?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

3 0

Answer:

x^2 + 2x + 1

Step-by-step explanation:

Divide the original equation by 3x-1

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The cost of manufacturing x T-shirts is modeled by the function T(x)=5x+12and the cost of manufacturing x sweatshirts is modeled

NISA [10]

87 for t-shirts and 243 for sweatshirts, the total cost is 330

8 0

3 years ago

Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

3 years ago

What is the slope of the linear function represented in the table? -7 -1/7 1/7 7

rewona [7]

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

7 0

3 years ago

Evaluate g (x) = 4- 3x when x = -3, 0, and 5

Nataliya [291]

Answer:

13, 4, -11

Step-by-step explanation:

g(-3) = 4-3(-3) = 4+9 = 13

g(0) = 4-3(0) =4-0 = 4

g(5) = 4-3(5) = 4-15 = -11

7 0

3 years ago

Solve the equation please!

yKpoI14uk [10]

Answer:

z=-60

Step-by-step explanation:

1/6z=-10

z=-10×6

z=-60

6 0

3 years ago

Read 2 more answers